3401000032 has 96 divisors (see below), whose sum is σ = 7028284032. Its totient is φ = 1618735104.

The previous prime is 3401000023. The next prime is 3401000063. The reversal of 3401000032 is 2300001043.

It is a junction number, because it is equal to n+sod(n) for n = 3400999976 and 3401000021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11078023 + ... + 11078329.

It is an arithmetic number, because the mean of its divisors is an integer number (73211292).

Almost surely, 2^3401000032 is an apocalyptic number.

3401000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514142016).

3401000032 is an abundant number, since it is smaller than the sum of its proper divisors (3627284000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3401000032 is a wasteful number, since it uses less digits than its factorization.

3401000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3401000032 is about 58318.0935216507. The cubic root of 3401000032 is about 1503.8420075097.

Adding to 3401000032 its reverse (2300001043), we get a palindrome (5701001075).

The spelling of 3401000032 in words is "three billion, four hundred one million, thirty-two", and thus it is an aban number.